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Finding the Fourth Proportional to 1,229.36, 1,844.64 and 499.14

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Solution

The fourth proportional to 1,229.36, 1,844.64 and 499.14 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.36 : 1,844.64 = 499.14 : x
  2. Step 2: Convert to fraction form
    1,229.36/1,844.64 = 499.14/x
  3. Step 3: Cross multiply
    1,229.36x = 1,844.64 × 499.14
  4. Step 4: Simplify right side
    1,229.36x = 920,733.61
  5. Step 5: Solve for x
    x = 920,733.61/1,229.36
  6. Step 6: Final answer
    x = 748.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.